Find the value of K so that:X^2+Kxy+ 2y^2+3x+5y+2=O May represent a line pair.
Find the value of K so that:
X^2+Kxy+ 2y^2+3x+5y+2=O
May represent a line pair.
TheMiralce123 , 5 Years ago
Grade 10
10 grade maths> Find the value of K so that: X^2+Kxy+ 2y^...
2 Answers
Arun
Dear student
For a pair of straight line
Equate abc +2fgh - af² - bg² - ch² = 0
Hopw you understand.
Thanks and
Aditya Gupta
the condition for a general quad eqn of the form ax^2+by^2+2gx+2fy+2hxy+c=0 to represent a pair of st lines (POSL) is that the determinant should be 0.
here a=1, b= 2, g= 3/2, f= 5/2, h= k/2, c=2, so we form the determinant as follows:
| 1 k/2 3/2|
| k/2 2 5/2| = 0
|3/2 5/2 2 |
putting this det 0, we get K= 3, 9/2
KINDLY APPROVE :))
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